Question $1$

Find the parametric equations for the position of a plane that rises $3$ feet for every $31$ feet it travels horizontally if the speed of the plane is $334$ feet per second in the direction it is traveling $($not horizontallty and not vertically$).$

Assume that at $\backslash (\backslash$mathrm$\{$t$\}=0\backslash )$ seconds, the plane was $274$ feet above the ground. And let the horizontal distance at t $\backslash (=0\backslash )$ be $0.$

Assume $\backslash (=0\backslash )$ corresponds to the given point and increases as $\backslash ($ x $\backslash )$ increases.

$\backslash [$

$\backslash$begin$\{$array$\}\{$l$\}$

x$($t$)=\backslash \backslash$

y$($t$)=$

$\backslash$end$\{$array$\}$

$\backslash ]$

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